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Finding the Third Proportional to 155,616 and 335,808

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Solution

The third proportional to 155,616 and 335,808 is: 724,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,616 : 335,808 = 335,808 : x
  2. Step 2: Convert to fraction form
    155,616/335,808 = 335,808/x
  3. Step 3: Cross multiply
    155,616x = 335,808 × 335,808
  4. Step 4: Simplify right side
    155,616x = 112,767,012,864
  5. Step 5: Solve for x
    x = 112,767,012,864/155,616
  6. Step 6: Final answer
    x = 724,649.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.